Draw an angle of 60 degrees using a compass. Write down all the steps. Refer to the textbook for instructions on constructing angles. Look for construction number 4.
The Correct Answer and Explanation is:
To construct an angle of 60 degrees using a compass, follow these steps:
Materials Needed:
- A pencil
- A ruler
- A compass
- A protractor (optional, for checking accuracy)
Steps:
- Draw a baseline:
- Use the ruler to draw a straight line. This will be the initial line where the angle will be constructed.
- Place the compass point on the baseline:
- Place the sharp end of the compass on the point where the angle will be formed. Let this point be labeled as O. Keep the pencil end of the compass steady.
- Draw an arc across the baseline:
- Without changing the width of the compass, draw an arc that crosses the baseline at two points, one on either side of point O. Label these intersections as points A and B.
- Draw two more arcs:
- Place the compass point at A and draw an arc above the baseline.
- Without changing the radius, repeat this step from point B.
- The two arcs will intersect at a point, which you will label as C.
- Draw the angle:
- Use the ruler to draw a straight line from O to C. This is the line that forms the 60-degree angle with the baseline AB.
- Check your angle:
- If you have a protractor, place it along the baseline and check that the angle between the two lines is 60 degrees.
Explanation:
This construction is based on the fact that the compass is used to create equal arcs from points A and B, forming two intersection points that are equidistant from the center point O. The resulting angle formed between the baseline and the line through point C will be exactly 60 degrees due to the equilateral triangle properties of the arcs.
